I don't know about limber pine, never had one, but just the name seems to imply it would be easy to wire! I would follow Gary's advice.
With conifers there are some species that react to wiring at different times more so than others. Ezo Spruce reacts poorly to winter wiring, seems to prefer late august, early September. Sub Alpine fir respond poorly to wiring in august/September. For most wiring I prefer to choose times when new growth has hardened off and any new buds are readily apparent. Also I tend to pick later in the dormant period to time the healing of cracks and fissures with a new growth period.
My experience has been that wiring method and type of wire can affect the outcome as well! The softer bark species with shorter needles need adaptive techniques to limit the needle damage.